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A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Assume
- A 10-year study conducted by the American Heart Association provided data on how age, blood pressure, and smoking relate to the risk of strokes. Assume the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.
Risk | Age | Pressure | Smoker |
12 | 57 | 152 | No |
24 | 67 | 163 | No |
13 | 58 | 155 | No |
56 | 86 | 177 | Yes |
28 | 59 | 196 | No |
51 | 76 | 189 | Yes |
18 | 56 | 155 | Yes |
31 | 78 | 120 | No |
37 | 80 | 135 | Yes |
15 | 78 | 98 | No |
22 | 71 | 152 | No |
36 | 70 | 173 | Yes |
15 | 67 | 135 | Yes |
48 | 77 | 209 | Yes |
15 | 60 | 199 | No |
36 | 82 | 119 | Yes |
8 | 66 | 166 | No |
34 | 80 | 125 | Yes |
3 | 62 | 117 | No |
37 | 59 | 207 | Yes |
- Develop a regression model to estimate the risk of stroke given the age, blood pressure, and smoking habit of the patient.
- Discuss the goodness of fit of the model.
- What is the risk of stroke for a 68-year old patient with a blood pressure 150 who is also a smoker?
- How will the risk level of the patient in c) change if the person is non-smoker.
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